11304864 has 72 divisors (see below), whose sum is σ = 34054020. Its totient is φ = 3545088.

The previous prime is 11304857. The next prime is 11304883. The reversal of 11304864 is 46840311.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 1192464 = 3180^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3742 + ... + 6050.

Almost surely, 2^11304864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027010).

11304864 is an abundant number, since it is smaller than the sum of its proper divisors (22749156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11304864 is a wasteful number, since it uses less digits than its factorization.

11304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11304864 is about 3362.2706613240. The cubic root of 11304864 is about 224.4338953822.

The spelling of 11304864 in words is "eleven million, three hundred four thousand, eight hundred sixty-four".